Extensions 1→N→G→Q→1 with N=M₄(2) and Q=C₂xC₆

Direct product G=NxQ with N=M₄(2) and Q=C₂xC₆

		d	ρ	Label	ID
C₂xC₆xM₄(2)		96		C2xC6xM4(2)	192,1455

Semidirect products G=N:Q with N=M₄(2) and Q=C₂xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2):₁(C₂xC₆) = C₃xD₄:₄D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Out M₄(2)	24	4	M4(2):1(C2xC6)	192,886
M₄(2):₂(C₂xC₆) = C₃xD₄.₉D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Out M₄(2)	48	4	M4(2):2(C2xC6)	192,888
M₄(2):₃(C₂xC₆) = C₆xC₈:C₂²	φ: C₂xC₆/C₆ → C₂ ⊆ Out M₄(2)	48		M4(2):3(C2xC6)	192,1462
M₄(2):₄(C₂xC₆) = C₆xC₈.C₂²	φ: C₂xC₆/C₆ → C₂ ⊆ Out M₄(2)	96		M4(2):4(C2xC6)	192,1463
M₄(2):₅(C₂xC₆) = C₃xD₈:C₂²	φ: C₂xC₆/C₆ → C₂ ⊆ Out M₄(2)	48	4	M4(2):5(C2xC6)	192,1464
M₄(2):₆(C₂xC₆) = C₃xD₄oD₈	φ: C₂xC₆/C₆ → C₂ ⊆ Out M₄(2)	48	4	M4(2):6(C2xC6)	192,1465
M₄(2):₇(C₂xC₆) = C₃xD₄oSD₁₆	φ: C₂xC₆/C₆ → C₂ ⊆ Out M₄(2)	48	4	M4(2):7(C2xC6)	192,1466
M₄(2):₈(C₂xC₆) = C₆xC₄.D₄	φ: C₂xC₆/C₆ → C₂ ⊆ Out M₄(2)	48		M4(2):8(C2xC6)	192,844
M₄(2):₉(C₂xC₆) = C₆xC₄wrC₂	φ: C₂xC₆/C₆ → C₂ ⊆ Out M₄(2)	48		M4(2):9(C2xC6)	192,853
M₄(2):₁₀(C₂xC₆) = C₃xC₄²:C₂²	φ: C₂xC₆/C₆ → C₂ ⊆ Out M₄(2)	48	4	M4(2):10(C2xC6)	192,854
M₄(2):₁₁(C₂xC₆) = C₆xC₈oD₄	φ: trivial image	96		M4(2):11(C2xC6)	192,1456
M₄(2):₁₂(C₂xC₆) = C₃xQ₈oM₄(2)	φ: trivial image	48	4	M4(2):12(C2xC6)	192,1457

Non-split extensions G=N.Q with N=M₄(2) and Q=C₂xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁(C₂xC₆) = C₃xD₄.₈D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Out M₄(2)	48	4	M4(2).1(C2xC6)	192,887
M₄(2).₂(C₂xC₆) = C₃xD₄.₁₀D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Out M₄(2)	48	4	M4(2).2(C2xC6)	192,889
M₄(2).₃(C₂xC₆) = C₃xD₄.₃D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Out M₄(2)	48	4	M4(2).3(C2xC6)	192,904
M₄(2).₄(C₂xC₆) = C₃xD₄.₄D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Out M₄(2)	48	4	M4(2).4(C2xC6)	192,905
M₄(2).₅(C₂xC₆) = C₃xD₄.₅D₄	φ: C₂xC₆/C₃ → C₂² ⊆ Out M₄(2)	96	4	M4(2).5(C2xC6)	192,906
M₄(2).₆(C₂xC₆) = C₃xQ₈oD₈	φ: C₂xC₆/C₆ → C₂ ⊆ Out M₄(2)	96	4	M4(2).6(C2xC6)	192,1467
M₄(2).₇(C₂xC₆) = C₆xC₄.₁₀D₄	φ: C₂xC₆/C₆ → C₂ ⊆ Out M₄(2)	96		M4(2).7(C2xC6)	192,845
M₄(2).₈(C₂xC₆) = C₃xM₄(2).₈C₂²	φ: C₂xC₆/C₆ → C₂ ⊆ Out M₄(2)	48	4	M4(2).8(C2xC6)	192,846
M₄(2).₉(C₂xC₆) = C₆xC₈.C₄	φ: C₂xC₆/C₆ → C₂ ⊆ Out M₄(2)	96		M4(2).9(C2xC6)	192,862
M₄(2).₁₀(C₂xC₆) = C₃xM₄(2).C₄	φ: C₂xC₆/C₆ → C₂ ⊆ Out M₄(2)	48	4	M4(2).10(C2xC6)	192,863
M₄(2).₁₁(C₂xC₆) = C₃xC₈oD₈	φ: C₂xC₆/C₆ → C₂ ⊆ Out M₄(2)	48	2	M4(2).11(C2xC6)	192,876
M₄(2).₁₂(C₂xC₆) = C₃xC₈.₂₆D₄	φ: C₂xC₆/C₆ → C₂ ⊆ Out M₄(2)	48	4	M4(2).12(C2xC6)	192,877

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